# Grade - examples - page 79

1. Rectangular trapezoid Calculate the content of a rectangular trapezoid with a right angle at the point A and if |AC| = 4 cm, |BC| = 3 cm and the diagonal AC is perpendicular to the side BC.
2. Wheel How many times turns the wheel of a passenger car in one second if car run at speed 100 km/h. Wheel diameter is d = 62 cm.
3. Beer permille In the 5 kg of blood of adult human after three 10° beers consumed shortly after another is 6.6 g of the alcohol. How much is it as per mille?
4. Car value The car loses value 15% every year. Determine a time (in years) when the price will be halved.
5. Hexagonal pyramid Regular hexagonal pyramid has dimensions: length edge of the base a = 1.8 dm and the height of the pyramid = 2.4 dm. Calculate the surface area and volume of a pyramid.
6. Chord - TS v2 The radius of circle k measures 87 cm. Chord GH = 22 cm. What is TS?
7. Car At what horizontal distance reaches the car weight m = 753 kg speed v = 74 km/h when the car engine develops a tensile force F = 3061 N. (Neglect resistance of the environment.)
8. Miraculous tree Miraculous tree grows so fast that the first day increases its height by half the total height of the second day by the third, the third day by a quarter, etc. How many times will increase its height after 6 days?
9. The carpet How many meters of carpet 90 cm wide need to cover floor room which has a rectangular shape with a lengths 4.8 m and 2.4 m if the number of pieces on the carpet is needed to be lowest?
10. Sum of series Determine the 6-th member and the sum of a geometric series: 5-4/1+16/5-64/25+256/125-1024/625+....
11. Pyramid in cube In a cube with edge 12 dm long we have inscribed pyramid with the apex at the center of the upper wall of the cube. Calculate the volume and surface area of the pyramid.
12. Height of the arc - formula Calculate the height of the arc if the length of the arc is 77 and chord length 40. Does exist a formula to solve this?
13. Quiz Tested student answered correctly on a 4/ 8 questions. Wrong answers was 16. How many questions answered?
14. Disjoint How many elements have union and intersection of two disjoint sets when the first have 1 and secodn 8 elements.
15. The book The book has 280 pages. Each side is a rectangle with sides 15 cm and 22 cm. a) how many leaves has the book? b) at least how many square meters of paper should be used to production this book?
16. Lunch Jane eats whole lunch for the 30 minutes. Which part of the lunch is eaten in 180 seconds?
17. RT and circles Solve right triangle if the radius of inscribed circle is r=9 and radius of circumscribed circle is R=23.
18. Annie Annie had a few cents in wallet. She bought a 3 buns for 9 cents. Now she has 58 cents in the wallet. How many cents previously Annie had in the wallet?
19. Salary increase Ms. Merry salary increased by 15% and that was 83e. What should pay before the increase?
20. Wheels Small tractor wheel with a diameter of 60 cm must be rotated 8 times to overcome some pathway. How many times must turn the big tractor wheel with a radius 60 cm to overcome the same distance?

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